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11054040 = 2335251367
BaseRepresentation
bin101010001010…
…101111011000
3202210121021220
4222022233120
510312212130
61032532040
7162646344
oct52125730
922717256
1011054040
116270078
123851020
1323a056a
14167a624
15e85410
hexa8abd8

11054040 has 64 divisors (see below), whose sum is σ = 33384960. Its totient is φ = 2928000.

The previous prime is 11054033. The next prime is 11054041. The reversal of 11054040 is 4045011.

11054040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11054041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29937 + ... + 30303.

It is an arithmetic number, because the mean of its divisors is an integer number (521640).

Almost surely, 211054040 is an apocalyptic number.

11054040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11054040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16692480).

11054040 is an abundant number, since it is smaller than the sum of its proper divisors (22330920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11054040 is a wasteful number, since it uses less digits than its factorization.

11054040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 11054040 is about 3324.7616455921. The cubic root of 11054040 is about 222.7616078729.

Adding to 11054040 its reverse (4045011), we get a palindrome (15099051).

The spelling of 11054040 in words is "eleven million, fifty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 251 367 502 734 753 1004 1101 1255 1468 1506 1835 2008 2202 2510 2936 3012 3670 3765 4404 5020 5505 6024 7340 7530 8808 10040 11010 14680 15060 22020 30120 44040 92117 184234 276351 368468 460585 552702 736936 921170 1105404 1381755 1842340 2210808 2763510 3684680 5527020 11054040